A recent study by Schnur Educational Research Associates randomly sampled 15 children between 8 and ...

A recent study by Schnur Educational Research Associates randomly sampled 15 children between 8 and 10 years old and 18 children between 11 and 14 years old and recorded their monthly allowance. Is it reasonable to conclude that the mean allowance received by children between 11 and 14 years is more than the allowance received by children between 8 and 10 years? Use the .01 significance level. What is the p-value?
 
8–10 Years    11–14 Years   8–10 Years   11–14 Years   
6                     19            6             11             
13                     14            5             8             
10                     12            7             14             
6                             8            9                 9             
14                      9            14             20             
 6                     11            12             19             
 7                      9                        11             
 7                      8                        12             
10                      8                        20             
  
1. State the decision rule: H0: μ1 ≥ μ2 ; H1: μ1 < μ2. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

Reject H0 if t >_____   
  
 
2. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
 
Value of the test statistic:____